What is the Greatest Common Factor of 58842 and 58854?

Greatest common factor (GCF) of 58842 and 58854 is 6.

GCF(58842,58854) = 6

We will now calculate the prime factors of 58842 and 58854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58842 and 58854.

How to find the GCF of 58842 and 58854?

We will first find the prime factorization of 58842 and 58854. After we will calculate the factors of 58842 and 58854 and find the biggest common factor number .

Step-1: Prime Factorization of 58842

Prime factors of 58842 are 2, 3, 7, 467. Prime factorization of 58842 in exponential form is:

58842 = 2¹ × 3² × 7¹ × 467¹

Step-2: Prime Factorization of 58854

Prime factors of 58854 are 2, 3, 17, 577. Prime factorization of 58854 in exponential form is:

58854 = 2¹ × 3¹ × 17¹ × 577¹

Step-3: Factors of 58842

List of positive integer factors of 58842 that divides 58842 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 467, 934, 1401, 2802, 3269, 4203, 6538, 8406, 9807, 19614, 29421

Step-4: Factors of 58854

List of positive integer factors of 58854 that divides 58842 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 577, 1154, 1731, 3462, 9809, 19618, 29427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58842 and 58854. The biggest common factor number is the GCF number.
So the greatest common factor 58842 and 58854 is 6.

Also check out the Least Common Multiple of 58842 and 58854